How to insulate a pipe? - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

How to insulate a pipe?

Abstract

This paper focuses on the problem of finding the optimal distribution of a thermal insulator around a pipe. We consider the framework of one fluid inside a pipe of thin width and surrounded by a thermal insulator. We use an asymptotic model to avoid dealing with the thin layer, leading to non-standard transmission conditions which involve discontinuities and second order tangential derivatives. We thus consider the shape optimization problem that aims to minimize the heat flux outside an insulator with a given volume. Then we characterize the shape derivative of the objective functional and perform 3D numerical simulations using the level set evolution method.
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Dates and versions

hal-04772321 , version 1 (07-11-2024)

Identifiers

  • HAL Id : hal-04772321 , version 1

Cite

Fabien Caubet, Carlos Conca, Marc Dambrine, Rodrigo Zelada. How to insulate a pipe?. 2024. ⟨hal-04772321⟩
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